What is the Greatest Common Factor of 92245 and 92264?

Greatest common factor (GCF) of 92245 and 92264 is 19.

GCF(92245,92264) = 19

We will now calculate the prime factors of 92245 and 92264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92245 and 92264.

How to find the GCF of 92245 and 92264?

We will first find the prime factorization of 92245 and 92264. After we will calculate the factors of 92245 and 92264 and find the biggest common factor number .

Step-1: Prime Factorization of 92245

Prime factors of 92245 are 5, 19, 971. Prime factorization of 92245 in exponential form is:

92245 = 5¹ × 19¹ × 971¹

Step-2: Prime Factorization of 92264

Prime factors of 92264 are 2, 19, 607. Prime factorization of 92264 in exponential form is:

92264 = 2³ × 19¹ × 607¹

Step-3: Factors of 92245

List of positive integer factors of 92245 that divides 92245 without a remainder.

1, 5, 19, 95, 971, 4855, 18449

Step-4: Factors of 92264

List of positive integer factors of 92264 that divides 92245 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 607, 1214, 2428, 4856, 11533, 23066, 46132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92245 and 92264. The biggest common factor number is the GCF number.
So the greatest common factor 92245 and 92264 is 19.

Also check out the Least Common Multiple of 92245 and 92264