What is the Greatest Common Factor of 69972 and 69986?

Greatest common factor (GCF) of 69972 and 69986 is 14.

GCF(69972,69986) = 14

We will now calculate the prime factors of 69972 and 69986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69972 and 69986.

How to find the GCF of 69972 and 69986?

We will first find the prime factorization of 69972 and 69986. After we will calculate the factors of 69972 and 69986 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 69986

Prime factors of 69986 are 2, 7, 4999. Prime factorization of 69986 in exponential form is:

69986 = 2¹ × 7¹ × 4999¹

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 69986

List of positive integer factors of 69986 that divides 69972 without a remainder.

1, 2, 7, 14, 4999, 9998, 34993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69972 and 69986. The biggest common factor number is the GCF number.
So the greatest common factor 69972 and 69986 is 14.

Also check out the Least Common Multiple of 69972 and 69986