What is the Greatest Common Factor of 61330 and 61338?
Greatest common factor (GCF) of 61330 and 61338 is 2.
GCF(61330,61338) = 2
We will now calculate the prime factors of 61330 and 61338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61330 and 61338.
How to find the GCF of 61330 and 61338?
We will first find the prime factorization of 61330 and 61338. After we will calculate the factors of 61330 and 61338 and find the biggest common factor number .
Step-1: Prime Factorization of 61330
Prime factors of 61330 are 2, 5, 6133. Prime factorization of 61330 in exponential form is:
61330 = 21 × 51 × 61331
Step-2: Prime Factorization of 61338
Prime factors of 61338 are 2, 3, 10223. Prime factorization of 61338 in exponential form is:
61338 = 21 × 31 × 102231
Step-3: Factors of 61330
List of positive integer factors of 61330 that divides 61330 without a remainder.
1, 2, 5, 10, 6133, 12266, 30665
Step-4: Factors of 61338
List of positive integer factors of 61338 that divides 61330 without a remainder.
1, 2, 3, 6, 10223, 20446, 30669
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 61330 and 61338. The biggest common factor number is the GCF number.
So the greatest common factor 61330 and 61338 is 2.
Also check out the Least Common Multiple of 61330 and 61338
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Related Greatest Common Factors of 61338
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