What is the Greatest Common Factor of 97629 and 97643?

Greatest common factor (GCF) of 97629 and 97643 is 7.

GCF(97629,97643) = 7

We will now calculate the prime factors of 97629 and 97643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97629 and 97643.

How to find the GCF of 97629 and 97643?

We will first find the prime factorization of 97629 and 97643. After we will calculate the factors of 97629 and 97643 and find the biggest common factor number .

Step-1: Prime Factorization of 97629

Prime factors of 97629 are 3, 7, 4649. Prime factorization of 97629 in exponential form is:

97629 = 3¹ × 7¹ × 4649¹

Step-2: Prime Factorization of 97643

Prime factors of 97643 are 7, 13, 29, 37. Prime factorization of 97643 in exponential form is:

97643 = 7¹ × 13¹ × 29¹ × 37¹

Step-3: Factors of 97629

List of positive integer factors of 97629 that divides 97629 without a remainder.

1, 3, 7, 21, 4649, 13947, 32543

Step-4: Factors of 97643

List of positive integer factors of 97643 that divides 97629 without a remainder.

1, 7, 13, 29, 37, 91, 203, 259, 377, 481, 1073, 2639, 3367, 7511, 13949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97629 and 97643. The biggest common factor number is the GCF number.
So the greatest common factor 97629 and 97643 is 7.

Also check out the Least Common Multiple of 97629 and 97643