What is the Greatest Common Factor of 92925 and 92939?

Greatest common factor (GCF) of 92925 and 92939 is 7.

GCF(92925,92939) = 7

We will now calculate the prime factors of 92925 and 92939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92925 and 92939.

How to find the GCF of 92925 and 92939?

We will first find the prime factorization of 92925 and 92939. After we will calculate the factors of 92925 and 92939 and find the biggest common factor number .

Step-1: Prime Factorization of 92925

Prime factors of 92925 are 3, 5, 7, 59. Prime factorization of 92925 in exponential form is:

92925 = 3² × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 92939

Prime factors of 92939 are 7, 11, 17, 71. Prime factorization of 92939 in exponential form is:

92939 = 7¹ × 11¹ × 17¹ × 71¹

Step-3: Factors of 92925

List of positive integer factors of 92925 that divides 92925 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 59, 63, 75, 105, 175, 177, 225, 295, 315, 413, 525, 531, 885, 1239, 1475, 1575, 2065, 2655, 3717, 4425, 6195, 10325, 13275, 18585, 30975

Step-4: Factors of 92939

List of positive integer factors of 92939 that divides 92925 without a remainder.

1, 7, 11, 17, 71, 77, 119, 187, 497, 781, 1207, 1309, 5467, 8449, 13277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92925 and 92939. The biggest common factor number is the GCF number.
So the greatest common factor 92925 and 92939 is 7.

Also check out the Least Common Multiple of 92925 and 92939