Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4972, 4980 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4972 and 4980 is 4.
GCF(4972,4980) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4972
2 | 4972 |
2 | 2486 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 4972 are 2,11,113. Prime factorization of 4972 in exponential form is:
4972 = 22×111×1131
Prime Factorization of 4980
2 | 4980 |
2 | 2490 |
3 | 1245 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 4980 are 2,3,5,83. Prime factorization of 4980 in exponential form is:
4980 = 22×31×51×831
∴ So by taking common prime factors GCF of 4972 and 4980 is 4
Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1,2,4,11,22,44,113,226,452,1243,2486,4972
Factors of 4980
List of positive integer factors of 4980 that divides 4980 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Greatest Common Factor
We found the factors and prime factorization of 4972 and 4980. The biggest common factor number is the GCF number.
So the greatest common factor 4972 and 4980 is 4.
Also check out the Least Common Multiple of 4972 and 4980
(i) The GCF of 4972 and 4980 is associative
GCF of 4972 and 4980 = GCF of 4980 and 4972
1. What is the GCF of 4972 and 4980?
Answer: GCF of 4972 and 4980 is 4.
2. What are the Factors of 4972?
Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.
3. What are the Factors of 4980?
Answer: Factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980. There are 24 integers that are factors of 4980. The greatest factor of 4980 is 4980.
4. How to Find the GCF of 4972 and 4980?
Answer:
Greatest Common Factor of 4972 and 4980 = 4
Step 1: Find the prime factorization of 4972
4972 = 2 x 2 x 11 x 113
Step 2: Find the prime factorization of 4980
4980 = 2 x 2 x 3 x 5 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4972 and 4980 is 4