What is the Greatest Common Factor of 62650 and 62664?

Greatest common factor (GCF) of 62650 and 62664 is 14.

GCF(62650,62664) = 14

We will now calculate the prime factors of 62650 and 62664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62650 and 62664.

How to find the GCF of 62650 and 62664?

We will first find the prime factorization of 62650 and 62664. After we will calculate the factors of 62650 and 62664 and find the biggest common factor number .

Step-1: Prime Factorization of 62650

Prime factors of 62650 are 2, 5, 7, 179. Prime factorization of 62650 in exponential form is:

62650 = 2¹ × 5² × 7¹ × 179¹

Step-2: Prime Factorization of 62664

Prime factors of 62664 are 2, 3, 7, 373. Prime factorization of 62664 in exponential form is:

62664 = 2³ × 3¹ × 7¹ × 373¹

Step-3: Factors of 62650

List of positive integer factors of 62650 that divides 62650 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 179, 350, 358, 895, 1253, 1790, 2506, 4475, 6265, 8950, 12530, 31325

Step-4: Factors of 62664

List of positive integer factors of 62664 that divides 62650 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 373, 746, 1119, 1492, 2238, 2611, 2984, 4476, 5222, 7833, 8952, 10444, 15666, 20888, 31332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62650 and 62664. The biggest common factor number is the GCF number.
So the greatest common factor 62650 and 62664 is 14.

Also check out the Least Common Multiple of 62650 and 62664