What is the Greatest Common Factor of 62364 and 62380?

Greatest common factor (GCF) of 62364 and 62380 is 4.

GCF(62364,62380) = 4

We will now calculate the prime factors of 62364 and 62380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62364 and 62380.

How to find the GCF of 62364 and 62380?

We will first find the prime factorization of 62364 and 62380. After we will calculate the factors of 62364 and 62380 and find the biggest common factor number .

Step-1: Prime Factorization of 62364

Prime factors of 62364 are 2, 3, 5197. Prime factorization of 62364 in exponential form is:

62364 = 2² × 3¹ × 5197¹

Step-2: Prime Factorization of 62380

Prime factors of 62380 are 2, 5, 3119. Prime factorization of 62380 in exponential form is:

62380 = 2² × 5¹ × 3119¹

Step-3: Factors of 62364

List of positive integer factors of 62364 that divides 62364 without a remainder.

1, 2, 3, 4, 6, 12, 5197, 10394, 15591, 20788, 31182

Step-4: Factors of 62380

List of positive integer factors of 62380 that divides 62364 without a remainder.

1, 2, 4, 5, 10, 20, 3119, 6238, 12476, 15595, 31190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62364 and 62380. The biggest common factor number is the GCF number.
So the greatest common factor 62364 and 62380 is 4.

Also check out the Least Common Multiple of 62364 and 62380