What is the Greatest Common Factor of 61495 and 61505?

Greatest common factor (GCF) of 61495 and 61505 is 5.

GCF(61495,61505) = 5

We will now calculate the prime factors of 61495 and 61505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61495 and 61505.

How to find the GCF of 61495 and 61505?

We will first find the prime factorization of 61495 and 61505. After we will calculate the factors of 61495 and 61505 and find the biggest common factor number .

Step-1: Prime Factorization of 61495

Prime factors of 61495 are 5, 7, 251. Prime factorization of 61495 in exponential form is:

61495 = 5¹ × 7² × 251¹

Step-2: Prime Factorization of 61505

Prime factors of 61505 are 5, 12301. Prime factorization of 61505 in exponential form is:

61505 = 5¹ × 12301¹

Step-3: Factors of 61495

List of positive integer factors of 61495 that divides 61495 without a remainder.

1, 5, 7, 35, 49, 245, 251, 1255, 1757, 8785, 12299

Step-4: Factors of 61505

List of positive integer factors of 61505 that divides 61495 without a remainder.

1, 5, 12301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61495 and 61505. The biggest common factor number is the GCF number.
So the greatest common factor 61495 and 61505 is 5.

Also check out the Least Common Multiple of 61495 and 61505