What is the Greatest Common Factor of 69540 and 69560?

Greatest common factor (GCF) of 69540 and 69560 is 20.

GCF(69540,69560) = 20

We will now calculate the prime factors of 69540 and 69560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69540 and 69560.

How to find the GCF of 69540 and 69560?

We will first find the prime factorization of 69540 and 69560. After we will calculate the factors of 69540 and 69560 and find the biggest common factor number .

Step-1: Prime Factorization of 69540

Prime factors of 69540 are 2, 3, 5, 19, 61. Prime factorization of 69540 in exponential form is:

69540 = 2² × 3¹ × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 69560

Prime factors of 69560 are 2, 5, 37, 47. Prime factorization of 69560 in exponential form is:

69560 = 2³ × 5¹ × 37¹ × 47¹

Step-3: Factors of 69540

List of positive integer factors of 69540 that divides 69540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 61, 76, 95, 114, 122, 183, 190, 228, 244, 285, 305, 366, 380, 570, 610, 732, 915, 1140, 1159, 1220, 1830, 2318, 3477, 3660, 4636, 5795, 6954, 11590, 13908, 17385, 23180, 34770

Step-4: Factors of 69560

List of positive integer factors of 69560 that divides 69540 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 47, 74, 94, 148, 185, 188, 235, 296, 370, 376, 470, 740, 940, 1480, 1739, 1880, 3478, 6956, 8695, 13912, 17390, 34780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69540 and 69560. The biggest common factor number is the GCF number.
So the greatest common factor 69540 and 69560 is 20.

Also check out the Least Common Multiple of 69540 and 69560