What is the Greatest Common Factor of 61054 and 61070?

Greatest common factor (GCF) of 61054 and 61070 is 2.

GCF(61054,61070) = 2

We will now calculate the prime factors of 61054 and 61070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61054 and 61070.

How to find the GCF of 61054 and 61070?

We will first find the prime factorization of 61054 and 61070. After we will calculate the factors of 61054 and 61070 and find the biggest common factor number .

Step-1: Prime Factorization of 61054

Prime factors of 61054 are 2, 7, 89. Prime factorization of 61054 in exponential form is:

61054 = 2¹ × 7³ × 89¹

Step-2: Prime Factorization of 61070

Prime factors of 61070 are 2, 5, 31, 197. Prime factorization of 61070 in exponential form is:

61070 = 2¹ × 5¹ × 31¹ × 197¹

Step-3: Factors of 61054

List of positive integer factors of 61054 that divides 61054 without a remainder.

1, 2, 7, 14, 49, 89, 98, 178, 343, 623, 686, 1246, 4361, 8722, 30527

Step-4: Factors of 61070

List of positive integer factors of 61070 that divides 61054 without a remainder.

1, 2, 5, 10, 31, 62, 155, 197, 310, 394, 985, 1970, 6107, 12214, 30535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61054 and 61070. The biggest common factor number is the GCF number.
So the greatest common factor 61054 and 61070 is 2.

Also check out the Least Common Multiple of 61054 and 61070