What is the Greatest Common Factor of 74086 and 74092?

Greatest common factor (GCF) of 74086 and 74092 is 2.

GCF(74086,74092) = 2

We will now calculate the prime factors of 74086 and 74092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74086 and 74092.

How to find the GCF of 74086 and 74092?

We will first find the prime factorization of 74086 and 74092. After we will calculate the factors of 74086 and 74092 and find the biggest common factor number .

Step-1: Prime Factorization of 74086

Prime factors of 74086 are 2, 17, 2179. Prime factorization of 74086 in exponential form is:

74086 = 2¹ × 17¹ × 2179¹

Step-2: Prime Factorization of 74092

Prime factors of 74092 are 2, 18523. Prime factorization of 74092 in exponential form is:

74092 = 2² × 18523¹

Step-3: Factors of 74086

List of positive integer factors of 74086 that divides 74086 without a remainder.

1, 2, 17, 34, 2179, 4358, 37043

Step-4: Factors of 74092

List of positive integer factors of 74092 that divides 74086 without a remainder.

1, 2, 4, 18523, 37046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74086 and 74092. The biggest common factor number is the GCF number.
So the greatest common factor 74086 and 74092 is 2.

Also check out the Least Common Multiple of 74086 and 74092