What is the Greatest Common Factor of 62112 and 62125?

Greatest common factor (GCF) of 62112 and 62125 is 1.

GCF(62112,62125) = 1

We will now calculate the prime factors of 62112 and 62125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62112 and 62125.

How to find the GCF of 62112 and 62125?

We will first find the prime factorization of 62112 and 62125. After we will calculate the factors of 62112 and 62125 and find the biggest common factor number .

Step-1: Prime Factorization of 62112

Prime factors of 62112 are 2, 3, 647. Prime factorization of 62112 in exponential form is:

62112 = 2⁵ × 3¹ × 647¹

Step-2: Prime Factorization of 62125

Prime factors of 62125 are 5, 7, 71. Prime factorization of 62125 in exponential form is:

62125 = 5³ × 7¹ × 71¹

Step-3: Factors of 62112

List of positive integer factors of 62112 that divides 62112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 647, 1294, 1941, 2588, 3882, 5176, 7764, 10352, 15528, 20704, 31056

Step-4: Factors of 62125

List of positive integer factors of 62125 that divides 62112 without a remainder.

1, 5, 7, 25, 35, 71, 125, 175, 355, 497, 875, 1775, 2485, 8875, 12425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62112 and 62125. The biggest common factor number is the GCF number.
So the greatest common factor 62112 and 62125 is 1.

Also check out the Least Common Multiple of 62112 and 62125