What is the Greatest Common Factor of 85076 and 85092?

Greatest common factor (GCF) of 85076 and 85092 is 4.

GCF(85076,85092) = 4

We will now calculate the prime factors of 85076 and 85092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85076 and 85092.

How to find the GCF of 85076 and 85092?

We will first find the prime factorization of 85076 and 85092. After we will calculate the factors of 85076 and 85092 and find the biggest common factor number .

Step-1: Prime Factorization of 85076

Prime factors of 85076 are 2, 21269. Prime factorization of 85076 in exponential form is:

85076 = 2² × 21269¹

Step-2: Prime Factorization of 85092

Prime factors of 85092 are 2, 3, 7, 1013. Prime factorization of 85092 in exponential form is:

85092 = 2² × 3¹ × 7¹ × 1013¹

Step-3: Factors of 85076

List of positive integer factors of 85076 that divides 85076 without a remainder.

1, 2, 4, 21269, 42538

Step-4: Factors of 85092

List of positive integer factors of 85092 that divides 85076 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1013, 2026, 3039, 4052, 6078, 7091, 12156, 14182, 21273, 28364, 42546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85076 and 85092. The biggest common factor number is the GCF number.
So the greatest common factor 85076 and 85092 is 4.

Also check out the Least Common Multiple of 85076 and 85092