What is the Greatest Common Factor of 84952 and 84967?

Greatest common factor (GCF) of 84952 and 84967 is 1.

GCF(84952,84967) = 1

We will now calculate the prime factors of 84952 and 84967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84952 and 84967.

How to find the GCF of 84952 and 84967?

We will first find the prime factorization of 84952 and 84967. After we will calculate the factors of 84952 and 84967 and find the biggest common factor number .

Step-1: Prime Factorization of 84952

Prime factors of 84952 are 2, 7, 37, 41. Prime factorization of 84952 in exponential form is:

84952 = 2³ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 84967

Prime factors of 84967 are 84967. Prime factorization of 84967 in exponential form is:

84967 = 84967¹

Step-3: Factors of 84952

List of positive integer factors of 84952 that divides 84952 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 41, 56, 74, 82, 148, 164, 259, 287, 296, 328, 518, 574, 1036, 1148, 1517, 2072, 2296, 3034, 6068, 10619, 12136, 21238, 42476

Step-4: Factors of 84967

List of positive integer factors of 84967 that divides 84952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84952 and 84967. The biggest common factor number is the GCF number.
So the greatest common factor 84952 and 84967 is 1.

Also check out the Least Common Multiple of 84952 and 84967