What is the Greatest Common Factor of 61455 and 61464?
Greatest common factor (GCF) of 61455 and 61464 is 3.
GCF(61455,61464) = 3
We will now calculate the prime factors of 61455 and 61464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61455 and 61464.
How to find the GCF of 61455 and 61464?
We will first find the prime factorization of 61455 and 61464. After we will calculate the factors of 61455 and 61464 and find the biggest common factor number .
Step-1: Prime Factorization of 61455
Prime factors of 61455 are 3, 5, 17, 241. Prime factorization of 61455 in exponential form is:
61455 = 31 × 51 × 171 × 2411
Step-2: Prime Factorization of 61464
Prime factors of 61464 are 2, 3, 13, 197. Prime factorization of 61464 in exponential form is:
61464 = 23 × 31 × 131 × 1971
Step-3: Factors of 61455
List of positive integer factors of 61455 that divides 61455 without a remainder.
1, 3, 5, 15, 17, 51, 85, 241, 255, 723, 1205, 3615, 4097, 12291, 20485
Step-4: Factors of 61464
List of positive integer factors of 61464 that divides 61455 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197, 312, 394, 591, 788, 1182, 1576, 2364, 2561, 4728, 5122, 7683, 10244, 15366, 20488, 30732
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 61455 and 61464. The biggest common factor number is the GCF number.
So the greatest common factor 61455 and 61464 is 3.
Also check out the Least Common Multiple of 61455 and 61464
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