What is the Greatest Common Factor of 62064 and 62079?

Greatest common factor (GCF) of 62064 and 62079 is 3.

GCF(62064,62079) = 3

We will now calculate the prime factors of 62064 and 62079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62064 and 62079.

How to find the GCF of 62064 and 62079?

We will first find the prime factorization of 62064 and 62079. After we will calculate the factors of 62064 and 62079 and find the biggest common factor number .

Step-1: Prime Factorization of 62064

Prime factors of 62064 are 2, 3, 431. Prime factorization of 62064 in exponential form is:

62064 = 2⁴ × 3² × 431¹

Step-2: Prime Factorization of 62079

Prime factors of 62079 are 3, 20693. Prime factorization of 62079 in exponential form is:

62079 = 3¹ × 20693¹

Step-3: Factors of 62064

List of positive integer factors of 62064 that divides 62064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 6896, 7758, 10344, 15516, 20688, 31032

Step-4: Factors of 62079

List of positive integer factors of 62079 that divides 62064 without a remainder.

1, 3, 20693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62064 and 62079. The biggest common factor number is the GCF number.
So the greatest common factor 62064 and 62079 is 3.

Also check out the Least Common Multiple of 62064 and 62079