What is the Greatest Common Factor of 1560 and 1570?

Greatest common factor (GCF) of 1560 and 1570 is 10.

GCF(1560,1570) = 10

We will now calculate the prime factors of 1560 and 1570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1560 and 1570.

How to find the GCF of 1560 and 1570?

We will first find the prime factorization of 1560 and 1570. After we will calculate the factors of 1560 and 1570 and find the biggest common factor number .

Step-1: Prime Factorization of 1560

Prime factors of 1560 are 2, 3, 5, 13. Prime factorization of 1560 in exponential form is:

1560 = 2³ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 1570

Prime factors of 1570 are 2, 5, 157. Prime factorization of 1570 in exponential form is:

1570 = 2¹ × 5¹ × 157¹

Step-3: Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780

Step-4: Factors of 1570

List of positive integer factors of 1570 that divides 1560 without a remainder.

1, 2, 5, 10, 157, 314, 785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1560 and 1570. The biggest common factor number is the GCF number.
So the greatest common factor 1560 and 1570 is 10.

Also check out the Least Common Multiple of 1560 and 1570