What is the Greatest Common Factor of 61040 and 61045?

Greatest common factor (GCF) of 61040 and 61045 is 5.

GCF(61040,61045) = 5

We will now calculate the prime factors of 61040 and 61045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61040 and 61045.

How to find the GCF of 61040 and 61045?

We will first find the prime factorization of 61040 and 61045. After we will calculate the factors of 61040 and 61045 and find the biggest common factor number .

Step-1: Prime Factorization of 61040

Prime factors of 61040 are 2, 5, 7, 109. Prime factorization of 61040 in exponential form is:

61040 = 2⁴ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 61045

Prime factors of 61045 are 5, 29, 421. Prime factorization of 61045 in exponential form is:

61045 = 5¹ × 29¹ × 421¹

Step-3: Factors of 61040

List of positive integer factors of 61040 that divides 61040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 109, 112, 140, 218, 280, 436, 545, 560, 763, 872, 1090, 1526, 1744, 2180, 3052, 3815, 4360, 6104, 7630, 8720, 12208, 15260, 30520

Step-4: Factors of 61045

List of positive integer factors of 61045 that divides 61040 without a remainder.

1, 5, 29, 145, 421, 2105, 12209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61040 and 61045. The biggest common factor number is the GCF number.
So the greatest common factor 61040 and 61045 is 5.

Also check out the Least Common Multiple of 61040 and 61045