What is the Greatest Common Factor of 37628 and 37647?

Greatest common factor (GCF) of 37628 and 37647 is 1.

GCF(37628,37647) = 1

We will now calculate the prime factors of 37628 and 37647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37628 and 37647.

How to find the GCF of 37628 and 37647?

We will first find the prime factorization of 37628 and 37647. After we will calculate the factors of 37628 and 37647 and find the biggest common factor number .

Step-1: Prime Factorization of 37628

Prime factors of 37628 are 2, 23, 409. Prime factorization of 37628 in exponential form is:

37628 = 2² × 23¹ × 409¹

Step-2: Prime Factorization of 37647

Prime factors of 37647 are 3, 47, 89. Prime factorization of 37647 in exponential form is:

37647 = 3² × 47¹ × 89¹

Step-3: Factors of 37628

List of positive integer factors of 37628 that divides 37628 without a remainder.

1, 2, 4, 23, 46, 92, 409, 818, 1636, 9407, 18814

Step-4: Factors of 37647

List of positive integer factors of 37647 that divides 37628 without a remainder.

1, 3, 9, 47, 89, 141, 267, 423, 801, 4183, 12549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37628 and 37647. The biggest common factor number is the GCF number.
So the greatest common factor 37628 and 37647 is 1.

Also check out the Least Common Multiple of 37628 and 37647