What is the Greatest Common Factor of 35630 and 35644?

Greatest common factor (GCF) of 35630 and 35644 is 14.

GCF(35630,35644) = 14

We will now calculate the prime factors of 35630 and 35644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35630 and 35644.

How to find the GCF of 35630 and 35644?

We will first find the prime factorization of 35630 and 35644. After we will calculate the factors of 35630 and 35644 and find the biggest common factor number .

Step-1: Prime Factorization of 35630

Prime factors of 35630 are 2, 5, 7, 509. Prime factorization of 35630 in exponential form is:

35630 = 2¹ × 5¹ × 7¹ × 509¹

Step-2: Prime Factorization of 35644

Prime factors of 35644 are 2, 7, 19, 67. Prime factorization of 35644 in exponential form is:

35644 = 2² × 7¹ × 19¹ × 67¹

Step-3: Factors of 35630

List of positive integer factors of 35630 that divides 35630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 509, 1018, 2545, 3563, 5090, 7126, 17815

Step-4: Factors of 35644

List of positive integer factors of 35644 that divides 35630 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 67, 76, 133, 134, 266, 268, 469, 532, 938, 1273, 1876, 2546, 5092, 8911, 17822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35630 and 35644. The biggest common factor number is the GCF number.
So the greatest common factor 35630 and 35644 is 14.

Also check out the Least Common Multiple of 35630 and 35644