What is the Greatest Common Factor of 61049 and 61054?

Greatest common factor (GCF) of 61049 and 61054 is 1.

GCF(61049,61054) = 1

We will now calculate the prime factors of 61049 and 61054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61049 and 61054.

How to find the GCF of 61049 and 61054?

We will first find the prime factorization of 61049 and 61054. After we will calculate the factors of 61049 and 61054 and find the biggest common factor number .

Step-1: Prime Factorization of 61049

Prime factors of 61049 are 41, 1489. Prime factorization of 61049 in exponential form is:

61049 = 41¹ × 1489¹

Step-2: 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-3: Factors of 61049

List of positive integer factors of 61049 that divides 61049 without a remainder.

1, 41, 1489

Step-4: Factors of 61054

List of positive integer factors of 61054 that divides 61049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61049 and 61054. The biggest common factor number is the GCF number.
So the greatest common factor 61049 and 61054 is 1.

Also check out the Least Common Multiple of 61049 and 61054