What is the Greatest Common Factor of 69258 and 69272?

Greatest common factor (GCF) of 69258 and 69272 is 14.

GCF(69258,69272) = 14

We will now calculate the prime factors of 69258 and 69272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69258 and 69272.

How to find the GCF of 69258 and 69272?

We will first find the prime factorization of 69258 and 69272. After we will calculate the factors of 69258 and 69272 and find the biggest common factor number .

Step-1: Prime Factorization of 69258

Prime factors of 69258 are 2, 3, 7, 17, 97. Prime factorization of 69258 in exponential form is:

69258 = 2¹ × 3¹ × 7¹ × 17¹ × 97¹

Step-2: Prime Factorization of 69272

Prime factors of 69272 are 2, 7, 1237. Prime factorization of 69272 in exponential form is:

69272 = 2³ × 7¹ × 1237¹

Step-3: Factors of 69258

List of positive integer factors of 69258 that divides 69258 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 97, 102, 119, 194, 238, 291, 357, 582, 679, 714, 1358, 1649, 2037, 3298, 4074, 4947, 9894, 11543, 23086, 34629

Step-4: Factors of 69272

List of positive integer factors of 69272 that divides 69258 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1237, 2474, 4948, 8659, 9896, 17318, 34636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69258 and 69272. The biggest common factor number is the GCF number.
So the greatest common factor 69258 and 69272 is 14.

Also check out the Least Common Multiple of 69258 and 69272