What is the Greatest Common Factor of 92715 and 92722?

Greatest common factor (GCF) of 92715 and 92722 is 7.

GCF(92715,92722) = 7

We will now calculate the prime factors of 92715 and 92722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92715 and 92722.

How to find the GCF of 92715 and 92722?

We will first find the prime factorization of 92715 and 92722. After we will calculate the factors of 92715 and 92722 and find the biggest common factor number .

Step-1: Prime Factorization of 92715

Prime factors of 92715 are 3, 5, 7, 883. Prime factorization of 92715 in exponential form is:

92715 = 3¹ × 5¹ × 7¹ × 883¹

Step-2: Prime Factorization of 92722

Prime factors of 92722 are 2, 7, 37, 179. Prime factorization of 92722 in exponential form is:

92722 = 2¹ × 7¹ × 37¹ × 179¹

Step-3: Factors of 92715

List of positive integer factors of 92715 that divides 92715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 883, 2649, 4415, 6181, 13245, 18543, 30905

Step-4: Factors of 92722

List of positive integer factors of 92722 that divides 92715 without a remainder.

1, 2, 7, 14, 37, 74, 179, 259, 358, 518, 1253, 2506, 6623, 13246, 46361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92715 and 92722. The biggest common factor number is the GCF number.
So the greatest common factor 92715 and 92722 is 7.

Also check out the Least Common Multiple of 92715 and 92722