What is the Greatest Common Factor of 69550 and 69570?

Greatest common factor (GCF) of 69550 and 69570 is 10.

GCF(69550,69570) = 10

We will now calculate the prime factors of 69550 and 69570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69550 and 69570.

How to find the GCF of 69550 and 69570?

We will first find the prime factorization of 69550 and 69570. After we will calculate the factors of 69550 and 69570 and find the biggest common factor number .

Step-1: Prime Factorization of 69550

Prime factors of 69550 are 2, 5, 13, 107. Prime factorization of 69550 in exponential form is:

69550 = 2¹ × 5² × 13¹ × 107¹

Step-2: Prime Factorization of 69570

Prime factors of 69570 are 2, 3, 5, 773. Prime factorization of 69570 in exponential form is:

69570 = 2¹ × 3² × 5¹ × 773¹

Step-3: Factors of 69550

List of positive integer factors of 69550 that divides 69550 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 107, 130, 214, 325, 535, 650, 1070, 1391, 2675, 2782, 5350, 6955, 13910, 34775

Step-4: Factors of 69570

List of positive integer factors of 69570 that divides 69550 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 773, 1546, 2319, 3865, 4638, 6957, 7730, 11595, 13914, 23190, 34785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69550 and 69570. The biggest common factor number is the GCF number.
So the greatest common factor 69550 and 69570 is 10.

Also check out the Least Common Multiple of 69550 and 69570