What is the Greatest Common Factor of 76639 and 76650?

Greatest common factor (GCF) of 76639 and 76650 is 1.

GCF(76639,76650) = 1

We will now calculate the prime factors of 76639 and 76650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76639 and 76650.

How to find the GCF of 76639 and 76650?

We will first find the prime factorization of 76639 and 76650. After we will calculate the factors of 76639 and 76650 and find the biggest common factor number .

Step-1: Prime Factorization of 76639

Prime factors of 76639 are 173, 443. Prime factorization of 76639 in exponential form is:

76639 = 173¹ × 443¹

Step-2: Prime Factorization of 76650

Prime factors of 76650 are 2, 3, 5, 7, 73. Prime factorization of 76650 in exponential form is:

76650 = 2¹ × 3¹ × 5² × 7¹ × 73¹

Step-3: Factors of 76639

List of positive integer factors of 76639 that divides 76639 without a remainder.

1, 173, 443

Step-4: Factors of 76650

List of positive integer factors of 76650 that divides 76639 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 73, 75, 105, 146, 150, 175, 210, 219, 350, 365, 438, 511, 525, 730, 1022, 1050, 1095, 1533, 1825, 2190, 2555, 3066, 3650, 5110, 5475, 7665, 10950, 12775, 15330, 25550, 38325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76639 and 76650. The biggest common factor number is the GCF number.
So the greatest common factor 76639 and 76650 is 1.

Also check out the Least Common Multiple of 76639 and 76650