What is the Greatest Common Factor of 78622 and 78628?

Greatest common factor (GCF) of 78622 and 78628 is 2.

GCF(78622,78628) = 2

We will now calculate the prime factors of 78622 and 78628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78622 and 78628.

How to find the GCF of 78622 and 78628?

We will first find the prime factorization of 78622 and 78628. After we will calculate the factors of 78622 and 78628 and find the biggest common factor number .

Step-1: Prime Factorization of 78622

Prime factors of 78622 are 2, 19, 2069. Prime factorization of 78622 in exponential form is:

78622 = 2¹ × 19¹ × 2069¹

Step-2: Prime Factorization of 78628

Prime factors of 78628 are 2, 11, 1787. Prime factorization of 78628 in exponential form is:

78628 = 2² × 11¹ × 1787¹

Step-3: Factors of 78622

List of positive integer factors of 78622 that divides 78622 without a remainder.

1, 2, 19, 38, 2069, 4138, 39311

Step-4: Factors of 78628

List of positive integer factors of 78628 that divides 78622 without a remainder.

1, 2, 4, 11, 22, 44, 1787, 3574, 7148, 19657, 39314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78622 and 78628. The biggest common factor number is the GCF number.
So the greatest common factor 78622 and 78628 is 2.

Also check out the Least Common Multiple of 78622 and 78628