What is the Greatest Common Factor of 61410 and 61430?

Greatest common factor (GCF) of 61410 and 61430 is 10.

GCF(61410,61430) = 10

We will now calculate the prime factors of 61410 and 61430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61410 and 61430.

How to find the GCF of 61410 and 61430?

We will first find the prime factorization of 61410 and 61430. After we will calculate the factors of 61410 and 61430 and find the biggest common factor number .

Step-1: Prime Factorization of 61410

Prime factors of 61410 are 2, 3, 5, 23, 89. Prime factorization of 61410 in exponential form is:

61410 = 2¹ × 3¹ × 5¹ × 23¹ × 89¹

Step-2: Prime Factorization of 61430

Prime factors of 61430 are 2, 5, 6143. Prime factorization of 61430 in exponential form is:

61430 = 2¹ × 5¹ × 6143¹

Step-3: Factors of 61410

List of positive integer factors of 61410 that divides 61410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 89, 115, 138, 178, 230, 267, 345, 445, 534, 690, 890, 1335, 2047, 2670, 4094, 6141, 10235, 12282, 20470, 30705

Step-4: Factors of 61430

List of positive integer factors of 61430 that divides 61410 without a remainder.

1, 2, 5, 10, 6143, 12286, 30715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61410 and 61430. The biggest common factor number is the GCF number.
So the greatest common factor 61410 and 61430 is 10.

Also check out the Least Common Multiple of 61410 and 61430