What is the Greatest Common Factor of 45562 and 45570?

Greatest common factor (GCF) of 45562 and 45570 is 2.

GCF(45562,45570) = 2

We will now calculate the prime factors of 45562 and 45570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45562 and 45570.

How to find the GCF of 45562 and 45570?

We will first find the prime factorization of 45562 and 45570. After we will calculate the factors of 45562 and 45570 and find the biggest common factor number .

Step-1: Prime Factorization of 45562

Prime factors of 45562 are 2, 11, 19, 109. Prime factorization of 45562 in exponential form is:

45562 = 2¹ × 11¹ × 19¹ × 109¹

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 45562

List of positive integer factors of 45562 that divides 45562 without a remainder.

1, 2, 11, 19, 22, 38, 109, 209, 218, 418, 1199, 2071, 2398, 4142, 22781

Step-4: Factors of 45570

List of positive integer factors of 45570 that divides 45562 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 45562 and 45570. The biggest common factor number is the GCF number.
So the greatest common factor 45562 and 45570 is 2.

Also check out the Least Common Multiple of 45562 and 45570