What is the Greatest Common Factor of 69632 and 69650?

Greatest common factor (GCF) of 69632 and 69650 is 2.

GCF(69632,69650) = 2

We will now calculate the prime factors of 69632 and 69650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69632 and 69650.

How to find the GCF of 69632 and 69650?

We will first find the prime factorization of 69632 and 69650. After we will calculate the factors of 69632 and 69650 and find the biggest common factor number .

Step-1: Prime Factorization of 69632

Prime factors of 69632 are 2, 17. Prime factorization of 69632 in exponential form is:

69632 = 2¹² × 17¹

Step-2: Prime Factorization of 69650

Prime factors of 69650 are 2, 5, 7, 199. Prime factorization of 69650 in exponential form is:

69650 = 2¹ × 5² × 7¹ × 199¹

Step-3: Factors of 69632

List of positive integer factors of 69632 that divides 69632 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1024, 1088, 2048, 2176, 4096, 4352, 8704, 17408, 34816

Step-4: Factors of 69650

List of positive integer factors of 69650 that divides 69632 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 199, 350, 398, 995, 1393, 1990, 2786, 4975, 6965, 9950, 13930, 34825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69632 and 69650. The biggest common factor number is the GCF number.
So the greatest common factor 69632 and 69650 is 2.

Also check out the Least Common Multiple of 69632 and 69650