What is the Greatest Common Factor of 53550 and 53567?

Greatest common factor (GCF) of 53550 and 53567 is 17.

GCF(53550,53567) = 17

We will now calculate the prime factors of 53550 and 53567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53550 and 53567.

How to find the GCF of 53550 and 53567?

We will first find the prime factorization of 53550 and 53567. After we will calculate the factors of 53550 and 53567 and find the biggest common factor number .

Step-1: Prime Factorization of 53550

Prime factors of 53550 are 2, 3, 5, 7, 17. Prime factorization of 53550 in exponential form is:

53550 = 2¹ × 3² × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 53567

Prime factors of 53567 are 17, 23, 137. Prime factorization of 53567 in exponential form is:

53567 = 17¹ × 23¹ × 137¹

Step-3: Factors of 53550

List of positive integer factors of 53550 that divides 53550 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 25, 30, 34, 35, 42, 45, 50, 51, 63, 70, 75, 85, 90, 102, 105, 119, 126, 150, 153, 170, 175, 210, 225, 238, 255, 306, 315, 350, 357, 425, 450, 510, 525, 595, 630, 714, 765, 850, 1050, 1071, 1190, 1275, 1530, 1575, 1785, 2142, 2550, 2975, 3150, 3570, 3825, 5355, 5950, 7650, 8925, 10710, 17850, 26775

Step-4: Factors of 53567

List of positive integer factors of 53567 that divides 53550 without a remainder.

1, 17, 23, 137, 391, 2329, 3151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53550 and 53567. The biggest common factor number is the GCF number.
So the greatest common factor 53550 and 53567 is 17.

Also check out the Least Common Multiple of 53550 and 53567