What is the Greatest Common Factor of 85077 and 85092?

Greatest common factor (GCF) of 85077 and 85092 is 3.

GCF(85077,85092) = 3

We will now calculate the prime factors of 85077 and 85092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85077 and 85092.

How to find the GCF of 85077 and 85092?

We will first find the prime factorization of 85077 and 85092. After we will calculate the factors of 85077 and 85092 and find the biggest common factor number .

Step-1: Prime Factorization of 85077

Prime factors of 85077 are 3, 23, 137. Prime factorization of 85077 in exponential form is:

85077 = 3³ × 23¹ × 137¹

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 85077

List of positive integer factors of 85077 that divides 85077 without a remainder.

1, 3, 9, 23, 27, 69, 137, 207, 411, 621, 1233, 3151, 3699, 9453, 28359

Step-4: Factors of 85092

List of positive integer factors of 85092 that divides 85077 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 85077 and 85092. The biggest common factor number is the GCF number.
So the greatest common factor 85077 and 85092 is 3.

Also check out the Least Common Multiple of 85077 and 85092