What is the Greatest Common Factor of 61552 and 61570?

Greatest common factor (GCF) of 61552 and 61570 is 2.

GCF(61552,61570) = 2

We will now calculate the prime factors of 61552 and 61570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61552 and 61570.

How to find the GCF of 61552 and 61570?

We will first find the prime factorization of 61552 and 61570. After we will calculate the factors of 61552 and 61570 and find the biggest common factor number .

Step-1: Prime Factorization of 61552

Prime factors of 61552 are 2, 3847. Prime factorization of 61552 in exponential form is:

61552 = 2⁴ × 3847¹

Step-2: Prime Factorization of 61570

Prime factors of 61570 are 2, 5, 47, 131. Prime factorization of 61570 in exponential form is:

61570 = 2¹ × 5¹ × 47¹ × 131¹

Step-3: Factors of 61552

List of positive integer factors of 61552 that divides 61552 without a remainder.

1, 2, 4, 8, 16, 3847, 7694, 15388, 30776

Step-4: Factors of 61570

List of positive integer factors of 61570 that divides 61552 without a remainder.

1, 2, 5, 10, 47, 94, 131, 235, 262, 470, 655, 1310, 6157, 12314, 30785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61552 and 61570. The biggest common factor number is the GCF number.
So the greatest common factor 61552 and 61570 is 2.

Also check out the Least Common Multiple of 61552 and 61570