What is the Greatest Common Factor of 69972 and 69979?

Greatest common factor (GCF) of 69972 and 69979 is 7.

GCF(69972,69979) = 7

We will now calculate the prime factors of 69972 and 69979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69972 and 69979.

How to find the GCF of 69972 and 69979?

We will first find the prime factorization of 69972 and 69979. After we will calculate the factors of 69972 and 69979 and find the biggest common factor number .

Step-1: Prime Factorization of 69972

Prime factors of 69972 are 2, 3, 7, 17. Prime factorization of 69972 in exponential form is:

69972 = 2² × 3¹ × 7³ × 17¹

Step-2: Prime Factorization of 69979

Prime factors of 69979 are 7, 13, 769. Prime factorization of 69979 in exponential form is:

69979 = 7¹ × 13¹ × 769¹

Step-3: Factors of 69972

List of positive integer factors of 69972 that divides 69972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 343, 357, 476, 588, 686, 714, 833, 1029, 1372, 1428, 1666, 2058, 2499, 3332, 4116, 4998, 5831, 9996, 11662, 17493, 23324, 34986

Step-4: Factors of 69979

List of positive integer factors of 69979 that divides 69972 without a remainder.

1, 7, 13, 91, 769, 5383, 9997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69972 and 69979. The biggest common factor number is the GCF number.
So the greatest common factor 69972 and 69979 is 7.

Also check out the Least Common Multiple of 69972 and 69979