What is the Greatest Common Factor of 62080 and 62092?

Greatest common factor (GCF) of 62080 and 62092 is 4.

GCF(62080,62092) = 4

We will now calculate the prime factors of 62080 and 62092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62080 and 62092.

How to find the GCF of 62080 and 62092?

We will first find the prime factorization of 62080 and 62092. After we will calculate the factors of 62080 and 62092 and find the biggest common factor number .

Step-1: Prime Factorization of 62080

Prime factors of 62080 are 2, 5, 97. Prime factorization of 62080 in exponential form is:

62080 = 2⁷ × 5¹ × 97¹

Step-2: Prime Factorization of 62092

Prime factors of 62092 are 2, 19, 43. Prime factorization of 62092 in exponential form is:

62092 = 2² × 19² × 43¹

Step-3: Factors of 62080

List of positive integer factors of 62080 that divides 62080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 128, 160, 194, 320, 388, 485, 640, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 12416, 15520, 31040

Step-4: Factors of 62092

List of positive integer factors of 62092 that divides 62080 without a remainder.

1, 2, 4, 19, 38, 43, 76, 86, 172, 361, 722, 817, 1444, 1634, 3268, 15523, 31046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62080 and 62092. The biggest common factor number is the GCF number.
So the greatest common factor 62080 and 62092 is 4.

Also check out the Least Common Multiple of 62080 and 62092