What is the Greatest Common Factor of 61523 and 61534?

Greatest common factor (GCF) of 61523 and 61534 is 11.

GCF(61523,61534) = 11

We will now calculate the prime factors of 61523 and 61534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61523 and 61534.

How to find the GCF of 61523 and 61534?

We will first find the prime factorization of 61523 and 61534. After we will calculate the factors of 61523 and 61534 and find the biggest common factor number .

Step-1: Prime Factorization of 61523

Prime factors of 61523 are 7, 11, 17, 47. Prime factorization of 61523 in exponential form is:

61523 = 7¹ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 61534

Prime factors of 61534 are 2, 11, 2797. Prime factorization of 61534 in exponential form is:

61534 = 2¹ × 11¹ × 2797¹

Step-3: Factors of 61523

List of positive integer factors of 61523 that divides 61523 without a remainder.

1, 7, 11, 17, 47, 77, 119, 187, 329, 517, 799, 1309, 3619, 5593, 8789

Step-4: Factors of 61534

List of positive integer factors of 61534 that divides 61523 without a remainder.

1, 2, 11, 22, 2797, 5594, 30767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61523 and 61534. The biggest common factor number is the GCF number.
So the greatest common factor 61523 and 61534 is 11.

Also check out the Least Common Multiple of 61523 and 61534