What is the Greatest Common Factor of 23450 and 23460?

Greatest common factor (GCF) of 23450 and 23460 is 10.

GCF(23450,23460) = 10

We will now calculate the prime factors of 23450 and 23460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23450 and 23460.

How to find the GCF of 23450 and 23460?

We will first find the prime factorization of 23450 and 23460. After we will calculate the factors of 23450 and 23460 and find the biggest common factor number .

Step-1: Prime Factorization of 23450

Prime factors of 23450 are 2, 5, 7, 67. Prime factorization of 23450 in exponential form is:

23450 = 2¹ × 5² × 7¹ × 67¹

Step-2: Prime Factorization of 23460

Prime factors of 23460 are 2, 3, 5, 17, 23. Prime factorization of 23460 in exponential form is:

23460 = 2² × 3¹ × 5¹ × 17¹ × 23¹

Step-3: Factors of 23450

List of positive integer factors of 23450 that divides 23450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 67, 70, 134, 175, 335, 350, 469, 670, 938, 1675, 2345, 3350, 4690, 11725

Step-4: Factors of 23460

List of positive integer factors of 23460 that divides 23450 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51, 60, 68, 69, 85, 92, 102, 115, 138, 170, 204, 230, 255, 276, 340, 345, 391, 460, 510, 690, 782, 1020, 1173, 1380, 1564, 1955, 2346, 3910, 4692, 5865, 7820, 11730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23450 and 23460. The biggest common factor number is the GCF number.
So the greatest common factor 23450 and 23460 is 10.

Also check out the Least Common Multiple of 23450 and 23460