What is the Greatest Common Factor of 61058 and 61068?

Greatest common factor (GCF) of 61058 and 61068 is 2.

GCF(61058,61068) = 2

We will now calculate the prime factors of 61058 and 61068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61058 and 61068.

How to find the GCF of 61058 and 61068?

We will first find the prime factorization of 61058 and 61068. After we will calculate the factors of 61058 and 61068 and find the biggest common factor number .

Step-1: Prime Factorization of 61058

Prime factors of 61058 are 2, 30529. Prime factorization of 61058 in exponential form is:

61058 = 2¹ × 30529¹

Step-2: Prime Factorization of 61068

Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:

61068 = 2² × 3¹ × 7¹ × 727¹

Step-3: Factors of 61058

List of positive integer factors of 61058 that divides 61058 without a remainder.

1, 2, 30529

Step-4: Factors of 61068

List of positive integer factors of 61068 that divides 61058 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 727, 1454, 2181, 2908, 4362, 5089, 8724, 10178, 15267, 20356, 30534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61058 and 61068. The biggest common factor number is the GCF number.
So the greatest common factor 61058 and 61068 is 2.

Also check out the Least Common Multiple of 61058 and 61068