What is the Greatest Common Factor of 62940 and 62950?

Greatest common factor (GCF) of 62940 and 62950 is 10.

GCF(62940,62950) = 10

We will now calculate the prime factors of 62940 and 62950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62940 and 62950.

How to find the GCF of 62940 and 62950?

We will first find the prime factorization of 62940 and 62950. After we will calculate the factors of 62940 and 62950 and find the biggest common factor number .

Step-1: Prime Factorization of 62940

Prime factors of 62940 are 2, 3, 5, 1049. Prime factorization of 62940 in exponential form is:

62940 = 2² × 3¹ × 5¹ × 1049¹

Step-2: Prime Factorization of 62950

Prime factors of 62950 are 2, 5, 1259. Prime factorization of 62950 in exponential form is:

62950 = 2¹ × 5² × 1259¹

Step-3: Factors of 62940

List of positive integer factors of 62940 that divides 62940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1049, 2098, 3147, 4196, 5245, 6294, 10490, 12588, 15735, 20980, 31470

Step-4: Factors of 62950

List of positive integer factors of 62950 that divides 62940 without a remainder.

1, 2, 5, 10, 25, 50, 1259, 2518, 6295, 12590, 31475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62940 and 62950. The biggest common factor number is the GCF number.
So the greatest common factor 62940 and 62950 is 10.

Also check out the Least Common Multiple of 62940 and 62950