What is the Greatest Common Factor of 62152 and 62164?

Greatest common factor (GCF) of 62152 and 62164 is 4.

GCF(62152,62164) = 4

We will now calculate the prime factors of 62152 and 62164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62152 and 62164.

How to find the GCF of 62152 and 62164?

We will first find the prime factorization of 62152 and 62164. After we will calculate the factors of 62152 and 62164 and find the biggest common factor number .

Step-1: Prime Factorization of 62152

Prime factors of 62152 are 2, 17, 457. Prime factorization of 62152 in exponential form is:

62152 = 2³ × 17¹ × 457¹

Step-2: Prime Factorization of 62164

Prime factors of 62164 are 2, 15541. Prime factorization of 62164 in exponential form is:

62164 = 2² × 15541¹

Step-3: Factors of 62152

List of positive integer factors of 62152 that divides 62152 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 457, 914, 1828, 3656, 7769, 15538, 31076

Step-4: Factors of 62164

List of positive integer factors of 62164 that divides 62152 without a remainder.

1, 2, 4, 15541, 31082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62152 and 62164. The biggest common factor number is the GCF number.
So the greatest common factor 62152 and 62164 is 4.

Also check out the Least Common Multiple of 62152 and 62164