What is the Greatest Common Factor of 85974 and 85979?

Greatest common factor (GCF) of 85974 and 85979 is 1.

GCF(85974,85979) = 1

We will now calculate the prime factors of 85974 and 85979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85974 and 85979.

How to find the GCF of 85974 and 85979?

We will first find the prime factorization of 85974 and 85979. After we will calculate the factors of 85974 and 85979 and find the biggest common factor number .

Step-1: Prime Factorization of 85974

Prime factors of 85974 are 2, 3, 7, 23, 89. Prime factorization of 85974 in exponential form is:

85974 = 2¹ × 3¹ × 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 85979

Prime factors of 85979 are 127, 677. Prime factorization of 85979 in exponential form is:

85979 = 127¹ × 677¹

Step-3: Factors of 85974

List of positive integer factors of 85974 that divides 85974 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 89, 138, 161, 178, 267, 322, 483, 534, 623, 966, 1246, 1869, 2047, 3738, 4094, 6141, 12282, 14329, 28658, 42987

Step-4: Factors of 85979

List of positive integer factors of 85979 that divides 85974 without a remainder.

1, 127, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85974 and 85979. The biggest common factor number is the GCF number.
So the greatest common factor 85974 and 85979 is 1.

Also check out the Least Common Multiple of 85974 and 85979