What is the Greatest Common Factor of 6972 and 6988?

Greatest common factor (GCF) of 6972 and 6988 is 4.

GCF(6972,6988) = 4

We will now calculate the prime factors of 6972 and 6988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6972 and 6988.

How to find the GCF of 6972 and 6988?

We will first find the prime factorization of 6972 and 6988. After we will calculate the factors of 6972 and 6988 and find the biggest common factor number .

Step-1: Prime Factorization of 6972

Prime factors of 6972 are 2, 3, 7, 83. Prime factorization of 6972 in exponential form is:

6972 = 2² × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 6988

Prime factors of 6988 are 2, 1747. Prime factorization of 6988 in exponential form is:

6988 = 2² × 1747¹

Step-3: Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486

Step-4: Factors of 6988

List of positive integer factors of 6988 that divides 6972 without a remainder.

1, 2, 4, 1747, 3494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6972 and 6988. The biggest common factor number is the GCF number.
So the greatest common factor 6972 and 6988 is 4.

Also check out the Least Common Multiple of 6972 and 6988