What is the Greatest Common Factor of 65667 and 65674?

Greatest common factor (GCF) of 65667 and 65674 is 7.

GCF(65667,65674) = 7

We will now calculate the prime factors of 65667 and 65674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65667 and 65674.

How to find the GCF of 65667 and 65674?

We will first find the prime factorization of 65667 and 65674. After we will calculate the factors of 65667 and 65674 and find the biggest common factor number .

Step-1: Prime Factorization of 65667

Prime factors of 65667 are 3, 7, 53, 59. Prime factorization of 65667 in exponential form is:

65667 = 3¹ × 7¹ × 53¹ × 59¹

Step-2: Prime Factorization of 65674

Prime factors of 65674 are 2, 7, 4691. Prime factorization of 65674 in exponential form is:

65674 = 2¹ × 7¹ × 4691¹

Step-3: Factors of 65667

List of positive integer factors of 65667 that divides 65667 without a remainder.

1, 3, 7, 21, 53, 59, 159, 177, 371, 413, 1113, 1239, 3127, 9381, 21889

Step-4: Factors of 65674

List of positive integer factors of 65674 that divides 65667 without a remainder.

1, 2, 7, 14, 4691, 9382, 32837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65667 and 65674. The biggest common factor number is the GCF number.
So the greatest common factor 65667 and 65674 is 7.

Also check out the Least Common Multiple of 65667 and 65674