What is the Greatest Common Factor of 76642 and 76650?

Greatest common factor (GCF) of 76642 and 76650 is 2.

GCF(76642,76650) = 2

We will now calculate the prime factors of 76642 and 76650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76642 and 76650.

How to find the GCF of 76642 and 76650?

We will first find the prime factorization of 76642 and 76650. After we will calculate the factors of 76642 and 76650 and find the biggest common factor number .

Step-1: Prime Factorization of 76642

Prime factors of 76642 are 2, 38321. Prime factorization of 76642 in exponential form is:

76642 = 2¹ × 38321¹

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 76642

List of positive integer factors of 76642 that divides 76642 without a remainder.

1, 2, 38321

Step-4: Factors of 76650

List of positive integer factors of 76650 that divides 76642 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 76642 and 76650. The biggest common factor number is the GCF number.
So the greatest common factor 76642 and 76650 is 2.

Also check out the Least Common Multiple of 76642 and 76650