What is the Greatest Common Factor of 61828 and 61834?

Greatest common factor (GCF) of 61828 and 61834 is 2.

GCF(61828,61834) = 2

We will now calculate the prime factors of 61828 and 61834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61828 and 61834.

How to find the GCF of 61828 and 61834?

We will first find the prime factorization of 61828 and 61834. After we will calculate the factors of 61828 and 61834 and find the biggest common factor number .

Step-1: Prime Factorization of 61828

Prime factors of 61828 are 2, 13, 29, 41. Prime factorization of 61828 in exponential form is:

61828 = 2² × 13¹ × 29¹ × 41¹

Step-2: Prime Factorization of 61834

Prime factors of 61834 are 2, 43, 719. Prime factorization of 61834 in exponential form is:

61834 = 2¹ × 43¹ × 719¹

Step-3: Factors of 61828

List of positive integer factors of 61828 that divides 61828 without a remainder.

1, 2, 4, 13, 26, 29, 41, 52, 58, 82, 116, 164, 377, 533, 754, 1066, 1189, 1508, 2132, 2378, 4756, 15457, 30914

Step-4: Factors of 61834

List of positive integer factors of 61834 that divides 61828 without a remainder.

1, 2, 43, 86, 719, 1438, 30917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61828 and 61834. The biggest common factor number is the GCF number.
So the greatest common factor 61828 and 61834 is 2.

Also check out the Least Common Multiple of 61828 and 61834