What is the Greatest Common Factor of 61064 and 61081?

Greatest common factor (GCF) of 61064 and 61081 is 17.

GCF(61064,61081) = 17

We will now calculate the prime factors of 61064 and 61081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61064 and 61081.

How to find the GCF of 61064 and 61081?

We will first find the prime factorization of 61064 and 61081. After we will calculate the factors of 61064 and 61081 and find the biggest common factor number .

Step-1: Prime Factorization of 61064

Prime factors of 61064 are 2, 17, 449. Prime factorization of 61064 in exponential form is:

61064 = 2³ × 17¹ × 449¹

Step-2: Prime Factorization of 61081

Prime factors of 61081 are 17, 3593. Prime factorization of 61081 in exponential form is:

61081 = 17¹ × 3593¹

Step-3: Factors of 61064

List of positive integer factors of 61064 that divides 61064 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 449, 898, 1796, 3592, 7633, 15266, 30532

Step-4: Factors of 61081

List of positive integer factors of 61081 that divides 61064 without a remainder.

1, 17, 3593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61064 and 61081. The biggest common factor number is the GCF number.
So the greatest common factor 61064 and 61081 is 17.

Also check out the Least Common Multiple of 61064 and 61081