What is the Greatest Common Factor of 53040 and 53050?

Greatest common factor (GCF) of 53040 and 53050 is 10.

GCF(53040,53050) = 10

We will now calculate the prime factors of 53040 and 53050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53050.

How to find the GCF of 53040 and 53050?

We will first find the prime factorization of 53040 and 53050. After we will calculate the factors of 53040 and 53050 and find the biggest common factor number .

Step-1: Prime Factorization of 53040

Prime factors of 53040 are 2, 3, 5, 13, 17. Prime factorization of 53040 in exponential form is:

53040 = 2⁴ × 3¹ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 53050

Prime factors of 53050 are 2, 5, 1061. Prime factorization of 53050 in exponential form is:

53050 = 2¹ × 5² × 1061¹

Step-3: Factors of 53040

List of positive integer factors of 53040 that divides 53040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 20, 24, 26, 30, 34, 39, 40, 48, 51, 52, 60, 65, 68, 78, 80, 85, 102, 104, 120, 130, 136, 156, 170, 195, 204, 208, 221, 240, 255, 260, 272, 312, 340, 390, 408, 442, 510, 520, 624, 663, 680, 780, 816, 884, 1020, 1040, 1105, 1326, 1360, 1560, 1768, 2040, 2210, 2652, 3120, 3315, 3536, 4080, 4420, 5304, 6630, 8840, 10608, 13260, 17680, 26520

Step-4: Factors of 53050

List of positive integer factors of 53050 that divides 53040 without a remainder.

1, 2, 5, 10, 25, 50, 1061, 2122, 5305, 10610, 26525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53050. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53050 is 10.

Also check out the Least Common Multiple of 53040 and 53050