What is the Greatest Common Factor of 45560 and 45570?

Greatest common factor (GCF) of 45560 and 45570 is 10.

GCF(45560,45570) = 10

We will now calculate the prime factors of 45560 and 45570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45560 and 45570.

How to find the GCF of 45560 and 45570?

We will first find the prime factorization of 45560 and 45570. After we will calculate the factors of 45560 and 45570 and find the biggest common factor number .

Step-1: Prime Factorization of 45560

Prime factors of 45560 are 2, 5, 17, 67. Prime factorization of 45560 in exponential form is:

45560 = 2³ × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 45570

Prime factors of 45570 are 2, 3, 5, 7, 31. Prime factorization of 45570 in exponential form is:

45570 = 2¹ × 3¹ × 5¹ × 7² × 31¹

Step-3: Factors of 45560

List of positive integer factors of 45560 that divides 45560 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 67, 68, 85, 134, 136, 170, 268, 335, 340, 536, 670, 680, 1139, 1340, 2278, 2680, 4556, 5695, 9112, 11390, 22780

Step-4: Factors of 45570

List of positive integer factors of 45570 that divides 45560 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 49, 62, 70, 93, 98, 105, 147, 155, 186, 210, 217, 245, 294, 310, 434, 465, 490, 651, 735, 930, 1085, 1302, 1470, 1519, 2170, 3038, 3255, 4557, 6510, 7595, 9114, 15190, 22785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45560 and 45570. The biggest common factor number is the GCF number.
So the greatest common factor 45560 and 45570 is 10.

Also check out the Least Common Multiple of 45560 and 45570