What is the Greatest Common Factor of 78637 and 78650?

Greatest common factor (GCF) of 78637 and 78650 is 13.

GCF(78637,78650) = 13

We will now calculate the prime factors of 78637 and 78650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78637 and 78650.

How to find the GCF of 78637 and 78650?

We will first find the prime factorization of 78637 and 78650. After we will calculate the factors of 78637 and 78650 and find the biggest common factor number .

Step-1: Prime Factorization of 78637

Prime factors of 78637 are 13, 23, 263. Prime factorization of 78637 in exponential form is:

78637 = 13¹ × 23¹ × 263¹

Step-2: Prime Factorization of 78650

Prime factors of 78650 are 2, 5, 11, 13. Prime factorization of 78650 in exponential form is:

78650 = 2¹ × 5² × 11² × 13¹

Step-3: Factors of 78637

List of positive integer factors of 78637 that divides 78637 without a remainder.

1, 13, 23, 263, 299, 3419, 6049

Step-4: Factors of 78650

List of positive integer factors of 78650 that divides 78637 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 121, 130, 143, 242, 275, 286, 325, 550, 605, 650, 715, 1210, 1430, 1573, 3025, 3146, 3575, 6050, 7150, 7865, 15730, 39325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78637 and 78650. The biggest common factor number is the GCF number.
So the greatest common factor 78637 and 78650 is 13.

Also check out the Least Common Multiple of 78637 and 78650